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arXiv · 1704.05377

Recovery of a fast oscillating source in the heat equation by asymptotic of the solution

Pavel V. Babich·Valeriy B. Levenshtam·Sergey P. Prika
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Abstract

Four problems about recovery of a high-frequency source in the one-dimension heat equation with homogeneous initial-boundary conditions by some information about partial asymptotic of its solution have solved. It is shown, that the source can be completely recovered from a specific data about incomplete (two-terms) asymptotic of the solution. Before formulation of each problem about recovery of a source, construction and justification of the asymptotic of the solution of original initial-boundary problem is given.

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Pavel V. Babich, Valeriy B. Levenshtam, Sergey P. Prika. 2017-04-18. Recovery of a fast oscillating source in the heat equation by asymptotic of the solution. https://arxiv.org/abs/1704.05377

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